4132477440 has 960 divisors, whose sum is σ = 18517314816. Its totient is φ = 859963392.

The previous prime is 4132477421. The next prime is 4132477457. The reversal of 4132477440 is 447742314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4132477395 and 4132477404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56609244 + ... + 56609316.

Almost surely, 2^4132477440 is an apocalyptic number.

4132477440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258657408).

4132477440 is an abundant number, since it is smaller than the sum of its proper divisors (14384837376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4132477440 is an equidigital number, since it uses as much as digits as its factorization.

4132477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4132477440 is about 64284.3483283451. The cubic root of 4132477440 is about 1604.7356364305.

The spelling of 4132477440 in words is "four billion, one hundred thirty-two million, four hundred seventy-seven thousand, four hundred forty".